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Stokes Flow in a Slowly Varying Two-Dimensional Periodic Pore (1997)

Kitanidis, Peter K. ; Dykaar, Bruce B.

Springer

Transport in porous media 26 (1997), S. 89-98

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ISSN: 1573-1634

Keywords: Stokes flow ; pore-scale hydrodynamics ; analytical solution ; multiple-scales method ; stream function ; biharmonic equation ; periodic flow.

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Technology

Notes: Abstract This article presents a series solution to the velocity in a two-dimensional long sinusoidal channel. The approach is based on a stream function formulation of the Stokes problem and a series expansion in terms of the width to the length ratio, which is considered small. Results show how immobile zones may appear and even flow separation and nonturbulent eddies, even in the absence of prima facie dead-end pores. It is shown that the flow tends to concentrate in strips connecting pore throats.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1006575028391

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